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Volume 97, 2018 - Issue 1: Multiscale Inverse Problems

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A regularizing Kohn–Vogelius formulation for the model-free adsorption isotherm estimation problem in chromatography

G. LinDepartment of Mathematics, Zhejiang University, Hangzhou, China.View further author information

Y. ZhangDepartment of Engineering and Chemical Sciences, Karlstad University, Karlstad, Sweden.;Department of Mathematics, School of Science and TechnologyÖrebro University, Örebro, Sweden.Correspondence[email protected]

http://orcid.org/0000-0003-4023-6352 View further author information

X. ChengDepartment of Mathematics, Zhejiang University, Hangzhou, China.View further author information

M. GullikssonDepartment of Mathematics, School of Science and TechnologyÖrebro University, Örebro, Sweden.View further author information

P. ForssénDepartment of Engineering and Chemical Sciences, Karlstad University, Karlstad, Sweden.View further author information

T. FornstedtDepartment of Engineering and Chemical Sciences, Karlstad University, Karlstad, Sweden.View further author information

Pages 13-40 | Received 29 Aug 2016, Accepted 12 Jan 2017, Published online: 01 Feb 2017

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https://doi.org/10.1080/00036811.2017.1284311
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Articles from other publishers (14)

Dmitrii Chaikovskii & Ye Zhang. (2023) Solving forward and inverse problems involving a nonlinear three-dimensional partial differential equation via asymptotic expansions. IMA Journal of Applied Mathematics 88:4, pages 525-557.
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Jiaji Su, Zhigang Yao, Cheng Li & Ye Zhang. (2023) A statistical approach to estimating adsorption-isotherm parameters in gradient-elution preparative liquid chromatography. The Annals of Applied Statistics 17:4.
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D. V. Lukyanenko, R. L. Argun, A. A. Borzunov, A. V. Gorbachev, V. D. Shinkarev, M. A. Shishlenin & A. G. Yagola. (2024) On the Features of Numerical Solution of Coefficient Inverse Problems for Nonlinear Equations of the Reaction–Diffusion–Advection Type with Data of Various Types. Differential Equations 59:12, pages 1734-1757.
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Zui-Cha Deng & Liu Yang. (2023) An inverse problem of reconstructing the refractive index interrain parabolic equations ∗ . Physica Scripta 98:8, pages 085238.
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Dmitrii Chaikovskii & Ye Zhang. (2022) Convergence analysis for forward and inverse problems in singularly perturbed time-dependent reaction-advection-diffusion equations. Journal of Computational Physics 470, pages 111609.
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R.L. Argun, V.T. Volkov & D.V. Lukyanenko. (2022) Numerical simulation of front dynamics in a nonlinear singularly perturbed reaction–diffusion problem. Journal of Computational and Applied Mathematics 412, pages 114294.
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R. L. Argun, A. V. Gorbachev, D. V. Lukyanenko & M. A. Shishlenin. (2022) Features of Numerical Reconstruction of a Boundary Condition in an Inverse Problem for a Reaction–Diffusion–Advection Equation with Data on the Position of a Reaction Front. Computational Mathematics and Mathematical Physics 62:3, pages 441-451.
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Chen Xu & Ye Zhang. (2022) Estimating adsorption isotherm parameters in chromatography via a virtual injection promoting double feed-forward neural network. Journal of Inverse and Ill-posed Problems 0:0.
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Raul Argun, Alexandr Gorbachev, Dmitry Lukyanenko & Maxim Shishlenin. (2021) On Some Features of the Numerical Solving of Coefficient Inverse Problems for an Equation of the Reaction-Diffusion-Advection-Type with Data on the Position of a Reaction Front. Mathematics 9:22, pages 2894.
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Natalia Levashova, Alexandr Gorbachev, Raul Argun & Dmitry Lukyanenko. (2021) The Problem of the Non-Uniqueness of the Solution to the Inverse Problem of Recovering the Symmetric States of a Bistable Medium with Data on the Position of an Autowave Front. Symmetry 13:5, pages 860.
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Mårten Gulliksson, Magnus Ögren, Anna Oleynik & Ye Zhang. 2021. Handbook of the Mathematics of the Arts and Sciences. Handbook of the Mathematics of the Arts and Sciences 2171 2215 .

Ye Zhang, Rongfang Gong, Mårten Gulliksson & Xiaoliang Cheng. (2019) A coupled complex boundary expanding compacts method for inverse source problems. Journal of Inverse and Ill-posed Problems 27:1, pages 67-86.
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Xiaoliang Cheng, Guangliang Lin, Ye Zhang, Rongfang Gong & Mårten Gulliksson. (2018) A modified coupled complex boundary method for an inverse chromatography problem. Journal of Inverse and Ill-posed Problems 26:1, pages 33-49.
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Mårten Gulliksson, Magnus Ögren, Anna Oleynik & Ye Zhang. 2019. Handbook of the Mathematics of the Arts and Sciences. Handbook of the Mathematics of the Arts and Sciences 1 44 .

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A regularizing Kohn–Vogelius formulation for the model-free adsorption isotherm estimation problem in chromatography

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A regularizing Kohn–Vogelius formulation for the model-free adsorption isotherm estimation problem in chromatography

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